Assuming that there exist at least two fermionic parameters, the classical N=1 supersymmetric Korteweg-de Vries (SKdV) system can be transformed to somecoupled bosonic systems. The boson fields in the bosonized SKdV (BSKdV) systemsare defined on even Grassmann algebra. Due to the intrusion of other Grassmannparameters, the BSKdV systems are different from the usual non-supersymmetricintegrable systems, and many more abundant solution structures can beunearthed. With the help of the singularity analysis, the Painlev\'e propertyof the BSKdV system is proved and a B\"acklund transformation (BT) is found.The BT related nonlocal symmetry, we call it as residual symmetry, is used tofind symmetry reduction solutions of the BSKdV system. Hinted from the symmetryreduction solutions, a more generalized but much simpler method is establishedto find exact solutions of the BSKdV and then the SKdV systems, which actuallycan be applied to any fermionic systems.
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